Finding the Third Proportional to 78,593 and 171,846

Step by Step Solution

1. Step 1: Write the proportion equation
   78,593 : 171,846 = 171,846 : x
2. Step 2: Convert to fraction form
   78,593/171,846 = 171,846/x
3. Step 3: Cross multiply
   78,593x = 171,846 × 171,846
4. Step 4: Simplify right side
   78,593x = 29,531,047,716
5. Step 5: Solve for x
   x = 29,531,047,716/78,593
6. Step 6: Final answer
   x = 375,746.54